Question

Реши уравнение x^4=(5x−24)^2.

Answer 1

$x^4=(5x-24)^2 \x^4-(5x-24)^2=0 \(x^2-5x+24)(x^2+5x-24)=0 \x^2-5x+24=0 \D textless 0 \x^2+5x-24=0 \D=25+96=121=11^2 \x_1= frac{-5+11}{2} =3 \x_2= frac{-5-11}{2} =-8$
Ответ: x1=3; x2=-8